Problem: Igor the analyst has adopted n little bunnies. As we all know, bunnies love carrots. Thus, Igor has bought a carrot to be shared between his bunnies. Igor wants to treat all the bunnies equally, and thus he wants to cut the carrot into n pieces of equal area. 

Formally, the carrot can be viewed as an isosceles triangle with base length equal to 1 and height equal to h. Igor wants to make n - 1 cuts parallel to the base to cut the carrot into n pieces. He wants to make sure that all n pieces have the same area. Can you help Igor determine where to cut the carrot so that each piece have equal area?

<image> Illustration to the first example.

Input

The first and only line of input contains two space-separated integers, n and h (2 ≤ n ≤ 1000, 1 ≤ h ≤ 105).

Output

The output should contain n - 1 real numbers x1, x2, ..., xn - 1. The number xi denotes that the i-th cut must be made xi units away from the apex of the carrot. In addition, 0 < x1 < x2 < ... < xn - 1 < h must hold. 

Your output will be considered correct if absolute or relative error of every number in your output doesn't exceed 10 - 6.

Formally, let your answer be a, and the jury's answer be b. Your answer is considered correct if <image>.

Examples

Input

3 2


Output

1.154700538379 1.632993161855


Input

2 100000


Output

70710.678118654752

Note

Definition of isosceles triangle: <https://en.wikipedia.org/wiki/Isosceles_triangle>.

Solution (in PYTHON):

Solution:
ab=0
at=0
h=0
ca=0
abi=0
def base(an):
  return -(an-h)/h
def area(antal):
  return (base(antal)*(h-antal))/2

def bs(ini, fin, s):
  #print(str(ini)+" "+str(fin)+" "+str(s))
  if s>100:
    return ini 
  mitad= (ini+fin)/2
  #print(str(area(h-mitad))+" "+ str(ab))
  if (area(h-mitad) < abi):
    return bs(mitad+0.000000000000000001,fin,s+1)
  else:
    return bs(ini,mitad,s+1)
f=raw_input()
#Enpythonsidaxdxdxdxd
#Enpythonsidaxdxdxdxd
#Enpythonsidaxdxdxdxd
#Enpythonsidaxdxdxdxd
f=f.split()
n=float(f[0])
h=float(f[1])
at=float(h/2)
ab=float(at/n)
for i in range(1,int(n)):
  abi=ab*i
  ca= bs(ca,h,0)
  print(ca)